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Finding the Fourth Proportional to 301,022.64, 415,416.06 and 165,069

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Solution

The fourth proportional to 301,022.64, 415,416.06 and 165,069 is: 227,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,022.64 : 415,416.06 = 165,069 : x
  2. Step 2: Convert to fraction form
    301,022.64/415,416.06 = 165,069/x
  3. Step 3: Cross multiply
    301,022.64x = 415,416.06 × 165,069
  4. Step 4: Simplify right side
    301,022.64x = 68,572,313,608.14
  5. Step 5: Solve for x
    x = 68,572,313,608.14/301,022.64
  6. Step 6: Final answer
    x = 227,797.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.